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Finding the Fourth Proportional to 36,178.88, 49,927.74 and 20,266.57

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Solution

The fourth proportional to 36,178.88, 49,927.74 and 20,266.57 is: 27,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,178.88 : 49,927.74 = 20,266.57 : x
  2. Step 2: Convert to fraction form
    36,178.88/49,927.74 = 20,266.57/x
  3. Step 3: Cross multiply
    36,178.88x = 49,927.74 × 20,266.57
  4. Step 4: Simplify right side
    36,178.88x = 1,011,863,788.01
  5. Step 5: Solve for x
    x = 1,011,863,788.01/36,178.88
  6. Step 6: Final answer
    x = 27,968.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.